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Simplifying -13 = -1(3n + -6) + -1(-6 + 2n) Reorder the terms: -13 = -1(-6 + 3n) + -1(-6 + 2n) -13 = (-6 * -1 + 3n * -1) + -1(-6 + 2n) -13 = (6 + -3n) + -1(-6 + 2n) -13 = 6 + -3n + (-6 * -1 + 2n * -1) -13 = 6 + -3n + (6 + -2n) Reorder the terms: -13 = 6 + 6 + -3n + -2n Combine like terms: 6 + 6 = 12 -13 = 12 + -3n + -2n Combine like terms: -3n + -2n = -5n -13 = 12 + -5n Solving -13 = 12 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -13 + 5n = 12 + -5n + 5n Combine like terms: -5n + 5n = 0 -13 + 5n = 12 + 0 -13 + 5n = 12 Add '13' to each side of the equation. -13 + 13 + 5n = 12 + 13 Combine like terms: -13 + 13 = 0 0 + 5n = 12 + 13 5n = 12 + 13 Combine like terms: 12 + 13 = 25 5n = 25 Divide each side by '5'. n = 5 Simplifying n = 5
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